LINEARIZATIONS, REALIZATION, AND SCALAR PRODUCTS FOR REGULAR MATRIX POLYNOMIALS

Authors
KRUPNIK I LANCASTER P
Citation
I. Krupnik et P. Lancaster, LINEARIZATIONS, REALIZATION, AND SCALAR PRODUCTS FOR REGULAR MATRIX POLYNOMIALS, Linear algebra and its applications, 272, 1998, pp. 45-57
Citations number
12
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
272
Year of publication
1998
Pages
45 - 57
Database
ISI
SICI code
0024-3795(1998)272:<45:LRASPF>2.0.ZU;2-M
Abstract
The connections between linearizations of regular matrix polynomials L (lambda) under shift and inversion of the parameter are developed and used to obtain a new formula for the realization of L(lambda)(-1). In the self-adjoint case nondegenerate indefinite scalar products are obt ained in which the fundamental (companion) linearizations are self-adj oint. (C) 1998 Elsevier Science Inc.